Pith Number

pith:OAIOSU3A

pith:2006:OAIOSU3ADEDZKXRZLPDWXECTRW

not attested not anchored not stored refs pending

Cosmic Perturbations Through the Cyclic Ages

Joel K. Erickson, Neil Turok, Paul J. Steinhardt, Steven Gratton

arxiv:hep-th/0607164 v1 · 2006-07-23 · hep-th · astro-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OAIOSU3ADEDZKXRZLPDWXECTRW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T15:17:13.776779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7010e953601907955e395bc76b90538daf868ae11c46845c128ce3a0c3ac8b1d

Aliases

arxiv: hep-th/0607164 · arxiv_version: hep-th/0607164v1 · doi: 10.48550/arxiv.hep-th/0607164 · pith_short_12: OAIOSU3ADEDZ · pith_short_16: OAIOSU3ADEDZKXRZ · pith_short_8: OAIOSU3A

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OAIOSU3ADEDZKXRZLPDWXECTRW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7010e953601907955e395bc76b90538daf868ae11c46845c128ce3a0c3ac8b1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43cb218cb82342eba4be2823d1f65142cb2c63561cad1015382ab573544c56b8",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-07-23T00:37:17Z",
    "title_canon_sha256": "ad75aafa4f2910af3c400346c11eed4b718466b1bb2633979f43ee01f4cde5e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0607164",
    "kind": "arxiv",
    "version": 1
  }
}